Stochastic asymptotic analysis of a multi-host model with vector transmission

Manuel Adrian Acuña-Zegarra and Saúl Díaz-Infante

Physica A: Statistical Mechanics and its Applications, 2018, vol. 510, issue C, 243-260

Abstract: We present a stochastic epidemic model with vectorial transmission and multi-host structure. To include environmental noise, we stochastically perturb biting rates with general state functional intensities. So, we derive a stochastic differential equation (SDE) which describes a vector disease with two types of hosts – humans and animals – and give conditions to assure disease extinction and persistence. Finally, via numerical experiments, we extend and illustrate our results using literature parameters for Chagas.

Keywords: Multi-host; Vector transmission; Persistence; Extinction; Stochastic perturbation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:510:y:2018:i:c:p:243-260

DOI: 10.1016/j.physa.2018.06.105

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